Answer:
Since, we are given table for x and y values
and table for average rate of changes
we can see the pattern of average rate of change
average rate of change for 5 to 6 is three times average rate of change for 4 to 5
but we have to find
average rate of change for 7 to 8
so, using same pattern
average rate of change for 6 to 7 is three times average rate of change for 5 to 6
average rate of change for 7 to 8 is 3*3( average rate of change for 5 to 6)
so, we can plug value
average rate of change for 7 to 8 is 3*3*486
average rate of change for 7 to 8 is 4374
so, option-D...........Answer
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
Let the smaller integer be n.
Then the larger integer is n + 2.
"When the smaller integer is added to three times the larger integer, the result is two less than five times the smaller integer."
The correct equation is:
n + 3(n + 2) = 5n - 2
His mistake is not using parentheses on the left side. Since he left out the parentheses, the left side is not "the smaller integer added to three times the larger integer", but rather it is "the smaller integer added to 2 plus 3 times the smaller integer."
n + 3(n + 2) = 5n - 2
n + 3n + 6 = 5n - 2
4n + 6 = 5n - 2
8 = n
n = 8
n + 2 = 10
The integers are 8 and 10.
865,530 is the greatest because the other number, 860,530 has '0' in the place of '5' in the 865,530.
Which quadratic equation fits the data in the table? x -5,-2,-1,0,3,4,6 y 33,9,5,3,9,15,33
mojhsa [17]
Answer:
y = x² − x + 3
Step-by-step explanation:
Quadratic equation is:
y = ax² + bx + c
Pick three points and plug in. I'll choose (-2, 9), (-1, 5), and (0, 3).
9 = a(-2)² + b(-2) + c
5 = a(-1)² + b(-1) + c
3 = a(0)² + b(0) + c
9 = 4a − 2b + c
5 = a − b + c
3 = c
We know c = 3, so substitute into the first two equations:
9 = 4a − 2b + 3
5 = a − b + 3
0 = 4a − 2b − 6
0 = a − b − 2
Solve by elimination or substitution.
b = a − 2
0 = 4a − 2(a − 2) − 6
0 = 4a − 2a + 4 − 6
0 = 2a − 2
a = 1
b = -1
Therefore:
y = x² − x + 3
Independent variables must be the amount of cans you buy of cat food. The dependent variable, well that must be the cost. Depending on how many cans you buy, the cost changes! :)
